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12113212032 = 273226939089
BaseRepresentation
bin10110100100000000…
…01111001010000000
31011021012010221001200
423102000033022000
5144301440241112
65321552101200
7606114413655
oct132200171200
934235127050
1012113212032
115156657539
122420834800
1311b0752bac
1482ca8bc2c
154ad684cdc
hex2d200f280

12113212032 has 96 divisors (see below), whose sum is σ = 34987504500. Its totient is φ = 4022624256.

The previous prime is 12113212021. The next prime is 12113212049. The reversal of 12113212032 is 23021231121.

It can be written as a sum of positive squares in 2 ways, for example, as 10655194176 + 1458017856 = 103224^2 + 38184^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12113211996 and 12113212014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 290344 + ... + 329432.

Almost surely, 212113212032 is an apocalyptic number.

12113212032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12113212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17493752250).

12113212032 is an abundant number, since it is smaller than the sum of its proper divisors (22874292468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12113212032 is a wasteful number, since it uses less digits than its factorization.

12113212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39378 (or 39363 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12113212032 its reverse (23021231121), we get a palindrome (35134443153).

The spelling of 12113212032 in words is "twelve billion, one hundred thirteen million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 269 288 384 538 576 807 1076 1152 1614 2152 2421 3228 4304 4842 6456 8608 9684 12912 17216 19368 25824 34432 38736 39089 51648 77472 78178 103296 117267 154944 156356 234534 309888 312712 351801 469068 625424 703602 938136 1250848 1407204 1876272 2501696 2814408 3752544 5003392 5628816 7505088 10514941 11257632 15010176 21029882 22515264 31544823 42059764 45030528 63089646 84119528 94634469 126179292 168239056 189268938 252358584 336478112 378537876 504717168 672956224 757075752 1009434336 1345912448 1514151504 2018868672 3028303008 4037737344 6056606016 12113212032